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Adding Multiples - Using Distributive Property

Adding Multiples - Using Distributive Property. Explore with a partner for 5-10 minutes. Yesterday I bought 5 CDs at the music store. Each one cost $8. Today I bought 7 CDs at $8 each. How can I find the total cost of all CDs?.

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Adding Multiples - Using Distributive Property

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  1. Adding Multiples-Using Distributive Property

  2. Explore with a partner for 5-10 minutes Yesterday I bought 5 CDs at the music store. Each one cost $8. Today I bought 7 CDs at $8 each. How can I find the total cost of all CDs? 1. We can show the cost of yesterday's CDs by finding the product of 5 and $8. 2. We can show the cost of today's CDs by finding the product of 7 and $8. + 5 x $8 7 x $8 + $56 $40 $96

  3. Now lets find the cost by first finding the total number of CDs then multiplying by the cost of one CD.

  4. Nina was finding multiples of 6. • She said, 18 and 42 are both multiples of 6, and when I add them, I also get a multiple of 6: 18+42 = 60. • Explain to Nina why adding two multiples of 6 will always result in another multiple of 6.

  5. Solution: Using Pictures **18 and 42 are both multiples of 6 which means 6 is a factor of both numbers. 6⋅3=18 6⋅7=42

  6. When you add 18 and 42, you can use the distributive property to show that the sum is also a multiple of 6: 6⋅3+6⋅7=6⋅(3+7)=6⋅10

  7. Solution: An Algebraic Explanation • If you have any two multiples of 6, you can write them both as 6 times a whole number. We can write this in symbols as 6a 6b (where a and b are both whole numbers). • When you add them, you have 6a + 6b = 6(a + b) • Since a and b are whole numbers, so is a + b. So the sum of two multiples of 6 is always a multiple of 6. **Please note that there is nothing special about 6 in this argument, so it will work exactly the same way with any whole number in place of 6.

  8. Find Sums Using the Distributive Property • 24 + 16 • 36 + 15 • 40 + 25 • 42 + 12 • 48 + 28 • 54 + 36

  9. Use the Distributive Property to find the area of this figure. 9cm 4cm 13cm

  10. Use the distributive property to solve this problem mentally4*56=

  11. You go to the supermarket. 1 bag of apples costs 4 dollars. 1 gallon of olive oil costs 10 dollars. You get 6 bags of apples and 6 gallons of olive oil. How much money do you pay the cashier? • $14 • $12 • $84 • $168 Use Distributive Property

  12. I feel comfortable using the distributive property to find the sum of two numbers. • Strongly Agree • Agree • Disagree • Strongly Disagree

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